What is the Greatest Common Factor of 7774 and 7787?

Greatest common factor (GCF) of 7774 and 7787 is 13.

GCF(7774,7787) = 13

We will now calculate the prime factors of 7774 and 7787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7774 and 7787.

How to find the GCF of 7774 and 7787?

We will first find the prime factorization of 7774 and 7787. After we will calculate the factors of 7774 and 7787 and find the biggest common factor number .

Step-1: Prime Factorization of 7774

Prime factors of 7774 are 2, 13, 23. Prime factorization of 7774 in exponential form is:

7774 = 2¹ × 13² × 23¹

Step-2: Prime Factorization of 7787

Prime factors of 7787 are 13, 599. Prime factorization of 7787 in exponential form is:

7787 = 13¹ × 599¹

Step-3: Factors of 7774

List of positive integer factors of 7774 that divides 7774 without a remainder.

1, 2, 13, 23, 26, 46, 169, 299, 338, 598, 3887

Step-4: Factors of 7787

List of positive integer factors of 7787 that divides 7774 without a remainder.

1, 13, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7774 and 7787. The biggest common factor number is the GCF number.
So the greatest common factor 7774 and 7787 is 13.

Also check out the Least Common Multiple of 7774 and 7787